查询词典 conjugate convex function

The drawback with GB3480-83 Methods for the calculation of load capacity of involute cylindrical gears equivalent to ISO/DP6336/Ⅰ∽Ⅲ-1980 is also pointed out: when taking into account lubricating state of gear surface influence on loading capacity of gear surface, In the above it is study on based EHL, and is ignored that in the state of boundary lubricating, as well as favorableness conditions in gear surface conjugate meshing, the active atom resolved from the additive permeates the surface and forms the modifying layer totally different from its basic structure, elements and function and thus greatly raises the loading capacity of gear surface.

也指出了等效于ISO/DP6336/Ⅰ∽Ⅲ-1980的《GB3480-83渐开线圆柱齿轮承载能力计算方法》的缺陷：在考虑齿面间润滑状态对齿面接触强度承载能力影响时，是以弹性流体动力润滑理论为讨论问题的基础，未考虑边界润滑状态下，非活性润滑油抗磨添加剂在啮合过程中，由于各种有利因素会分解出活性原子，渗进齿轮表面，形成表面改性层，极大的提高了其承载能力。

The drawback with GB3480-83 Methods for the calculation of load capacity of involute cylindrical gears equivalent to ISO/DP6336/I∽III-1980 is also pointed out: when taking into account lubricating state of gear surface influence on loading capacity of gear surface, In the above it is study on based EHL , and is ignored that in the state of boundary lubricating, as well as favorableness conditions in gear surface conjugate meshing, the active atom resolved from the additive permeates the surface and forms the modifying layer totally different from its basic structure, elements and function and thus greatly raises the loading capacity of gear surface .

也指出了等效于ISO/DP6336/Ⅰ∽Ⅲ-1980的《GB3480-83渐开线圆柱齿轮承载能力计算方法》的缺陷：在考虑齿面间润滑状态对齿面接触强度承载能力影响时，是以弹性流体动力润滑理论为讨论问题的基础，未考虑边界润滑状态下，非活性润滑油抗磨添加剂在啮合过程中，由于各种有利因素会分解出活性原子，渗进齿轮表面，形成表面改性层，极大的提高了其承载能力。

The one order differential model and convolutional model of impedance formula of amplitude versus offset inversion were established. Impedance inversion formula from AVO was derived based on Bayesian framework. Methods of using Huber function as prior model parameter distribution and covariance matrix from well log as constrains were developed. The P-wave impedance, S-wave impedance and density were calculated by the conjugate gradient algorithm.

为此建立了振幅随偏移距变化波阻抗反演公式的一阶差分模型及褶积模型，推导了基于贝叶斯理论的AVO波阻抗反演公式，给出了采用Huber分布作为模型参数的先验分布及测井数据的参数协方差矩阵作为约束条件的实现方法，并利用共轭梯度法计算了纵、横波阻抗及密度。

According to its statistical structure of likelihood function, constructed their Bayesian estimation under the normal-Gamma conjugate prior distribution.

首先，从最简单的时间序列AR模型入手，分析了时间序列AR模型的统计结构及其条件似然函数，根据似然函数构造了模型参数的共轭先验分布。

Firstly, the three-dimension boundary question and its corresponding variation question concerning the point-source electrical field on a 3-D structure are presented. Secondly, the finite element method is used to solve the variational equation. The study area is divided into many tetrahedral elements. Then, we interpolate with a tri-linear function in each element. So, the variational equation is converted into a linear equation system. Finally, taking into account saving of time, we make use of symmetric successive overrelaxation preconditioned conjugate gradient algorithm to solve large linear system, and obtain the potential value of each node, resulting in the calculation of the apparent resistivity values on the ground surface.

首先给出了三维构造中点源电场的边值问题以及相应的变分问题；然后利用有限单元法求解变分问题，采用四面体单元对研究区域进行剖分，在单元中进行三线性函数插值，将变分方程化为线性代数方程组；最后，考虑到节约计算时间，利用对称超松弛预条件共轭梯度迭代算法求解大型线性方程组，得到了各节点的电位值，进而计算出地表的视电阻率。

Taking range as the performance function, considering end velocity, height and trajectory slope angle constraints, the optimal glide trajectory was solved by maximum principle of Pontryagin and conjugate-gradient method.

建立了滑翔弹道模型，以射程为指标函数，考虑终端速度、高度和弹道倾角约束，采用庞特里亚金极大值原理和共轭梯度法求出控制变量有约束的最优滑翔弹道，简要分析了滑翔增程机理。

The paper proposes the TLS approach that minimizes the two kinds of errors.A Rayleigh Quotient formulation based on regularization is used to enforce a smooth solution.Then a conjugate gradient algorithm is used to minimize the modified RQ function.

该方法能同时最小化这两种误差，采用基于正则化的Rayleigh商来光滑解，用共轭梯度算法来迭代求解该正则化Rayleigh商的最小化函数。

The mixed method raise the convergent rate of the conjugate gradient method, and solve the problem which the steepest descent method can not solve in the condition with badly characteristics for the objective function.

混合算法既提高了共轭梯度算法的收敛速度，又解决了目标函数"性态不优"时，最速下降法难以求解的问题。

In allusion to the above-mentioned problems, considering the self-adaptive regulative ability of the visual system to natural perceptive information and the feedback between visual cortexes, a bidirectional NNSC model is proposed, which is based on the robust principal component analysis and the priors of receptive fields of simple cells in V1. And using the (Polak-Ribiere-Polyak) PRP conjugate gradient descent algorithm, the minimum optimization problem of the objective function can be realized.

针对上述问题，考虑视觉系统对外界感知信息的自适应调整机制和视皮层之间的反馈连接，本文提出了一种基于稳健 PCA 和 V1区简单细胞感受野先验知识的反馈非负稀疏编码模型，并且使用 Polak-Ribiere-Polyak共轭梯度下降优化算法实现了目标函数的最小化问题。

While the standard Airy function, used frequently in the uniform asymptotic formulas for classical orthogonal polynomials, behaves like the exponential function on one side and the trigonometric functions on the other side of an extreme zero,the q-Airy polynomial behaves like the q-Airy function on one side and the q-Theta function on the other side.

在经典正交多项式的一致渐近公式中我们通常要用到Airy函数，这个Airy函数在一个极端零点的一边表现为指数函数，另一边又表现为三角函数。同样地，q-Airy多项式在一边表现为q-Airy函数，另一边又表现为q-Theta函数。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。